Reflection and Line Equations

This video tutorial covers the concept of reflections in geometry, focusing on how shapes can be reflected across mirror lines. It explains the process of reflecting shapes using vertical, horizontal, and diagonal mirror lines, and how to perform reflections on coordinate axes. The video includes practice questions to reinforce understanding and describes how to identify and describe transformations.

What is the term used for the line over which a shape is reflected?

• Symmetry line

• Reflection line

• Mirror line

• Axis line

In a reflection, what is the term for the original shape?

• Reflection

• Image

• Object

• Source

When a shape is reflected over a vertical mirror line, how does the distance of the image from the line compare to the original shape?

• The image is closer to the line

• The image is further from the line

• The image overlaps the line

• The image is the same distance from the line

How do you reflect a shape over a diagonal mirror line?

• Move the shape vertically

• Move the shape diagonally and then turn 90°

• Move the shape horizontally

• Move the shape in a circular path

What is the equation of a line where all x-coordinates are the same?

• x = y

• y = a constant

• y = x

• x = a constant

If a line crosses the y-axis at 6, what is its equation?

• y = 6

• x = 6

• y = 0

• x = 0

What is the equation of the x-axis?

• x = 0

• y = 0

• x = y

• y = x

What is the equation of the line where the y-coordinate is always the negative of the x-coordinate?

• y = -x

• x = y

• y = x

• x = -y

Which transformation involves flipping a shape over a line?

• Rotation

• Translation

• Reflection

• Enlargement

How do you determine the mirror line between two reflected shapes?

• It is the midpoint between the shapes

• It is the line that passes through both shapes

• It is the line that is parallel to both shapes

• It is the line that is perpendicular to both shapes